@article{SchreierKohlert, author = {Schreier, Franz and Kohlert, Dieter}, title = {Optimized implementations of rational approximations-a case study on the Voigt and complex error function}, series = {Computer Physics Communications : an international journal for computational physics and physical chemistry}, volume = {179}, journal = {Computer Physics Communications : an international journal for computational physics and physical chemistry}, number = {7}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0010-4655}, doi = {10.1016/j.cpc.2008.04.012}, pages = {457 -- 465}, abstract = {Rational functions are frequently used as efficient yet accurate numerical approximations for real and complex valued special functions. For the complex error function , whose real part is the Voigt function , the rational approximation developed by Hui, Armstrong, and Wray [Rapid computation of the Voigt and complex error functions, J. Quant. Spectrosc. Radiat. Transfer 19 (1978) 509-516] is investigated. Various optimizations for the algorithm are discussed. In many applications, where these functions have to be calculated for a large x grid with constant y, an implementation using real arithmetic and factorization of invariant terms is especially efficient.}, language = {en} } @article{Kohlert, author = {Kohlert, Dieter}, title = {The sub-threshold behaviour of the MOS field-effect transistor}, series = {European Journal of Physics}, volume = {19}, journal = {European Journal of Physics}, number = {2}, publisher = {IOP Science}, pages = {125 -- 131}, language = {en} }